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Finding the Fourth Proportional to 245.13, 338.34 and 146.93

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Solution

The fourth proportional to 245.13, 338.34 and 146.93 is: 202.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.13 : 338.34 = 146.93 : x
  2. Step 2: Convert to fraction form
    245.13/338.34 = 146.93/x
  3. Step 3: Cross multiply
    245.13x = 338.34 × 146.93
  4. Step 4: Simplify right side
    245.13x = 49,710.60
  5. Step 5: Solve for x
    x = 49,710.60/245.13
  6. Step 6: Final answer
    x = 202.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.